Sat Math Easy Practice Worksheet With Answer Key (Page 12 of 17) in pdf

SAT Math Easy Practice Quiz #2 Answers

7. C

(Estimated Diﬃculty Level: 1)

10. D

(Estimated Diﬃculty Level: 2)

Which of the points on the graph is at the bottom of the

If you got stuck here, try working with the answers: sub-

parabola? That point will give you the minimum value

stitute each answer into m until the inequality works.

of y. Since ﬁgures on the SAT are accurately drawn

If you plug in answer D, you get |2(1)

2| = 0 which is

unless the problem says otherwise, you can see that the

less than 1, so answer D is correct.

point ( 1, 2) is at the bottom of the curve. So, the

How would you do this problem the “real” way? The

needed x-value is

1. One mini-trap to avoid here is:

expression |x| < 5, for example, means that x is less

the problem asked you for the x-value, which is

1, not

than 5 units away from 0 on the number line. In other

the y-value, which is

2. Hopefully you didn’t fall for

words, x is bigger than

5 and less than 5. In math,

answer B, which inconveniently gives the y-value. Once

this is:

5 < x < 5. So, |2m

2| < 1 is the same

again, I have no idea at all how that answer got there!

thing as:

1 < 2m

2 < 1. Adding 2 to all sides gives

1 < 2m < 3 so that 1/2 < m < 3/2, which means that

m must be equal to 1.

8. 4

(Estimated Diﬃculty Level: 1+)

Hint: square both sides of the equation! When you

do that, the square roots disappear and you get the

11. A

(Estimated Diﬃculty Level: 2)

equivalent equation: 2m + 1 = 3m

3. Solving for m

gives m = 4.

Mmmm, there’s nothing quite like a cabbage barrel.

Anyway, if the algebra isn’t working for you here, plug

If you were really stuck on how to proceed here, re-

in real numbers for n. When it comes to percents or

member one of your basic SAT math strategies: plug in

probabilities, numbers like 100 are good choices to plug

numbers for variables. Since grid-in answers are always

in, so let’s try n = 100. For the probability of choosing

0 or greater, you could try plugging in 0, 1, and so forth.

a green cabbage to be 30% when there are 100 cab-

When the equation works, the answer must be correct.

bages in the barrel, there must be 30 green cabbages,

since that number makes the probability of picking a

green cabbage 30/100 = 30%. Now, work through the

answers plugging in n = 100 until you get the answer

9. B

(Estimated Diﬃculty Level: 2)

30. Answer A gives 3(100)/10 = 30 so that must be the

correct answer.

Occasionally, an SAT math problem will have an “E”

answer that states that the problem can’t be solved us-

Algebra mavens and math teachers will do the following:

ing the given information. For these questions, answer

Let x be the number of green cabbages. Then, the

E is correct only about 11% of the time, using the last

probability of choosing a green cabbage is x/n, which

few years of SAT tests. So when you see one of these,

equals 30%, so that

you should think: “Answer E is probably a trap.” And

that is true for this problem as well! We don’t know

100

what a and b are, but it doesn’t matter: plug in real

numbers for a and b. We need a + b = c = 12, so I’ll try

and we get x = 3n/10. Those mavens will do this al-

a = 5 and b = 7. Then, c

2b = 12

2(5)

2(7) =

gebra smugly, but you can get the same question right

14 =

12, making B the correct answer.

just by plugging in numbers.

If you are an algebra ﬁend, you’ll see that c

2b =

c 2(a + b) = c 2(c) =

c =

12. But you don’t have

to be a ﬁend to get this question right.

pg. 12

Sat Math Easy Practice Worksheet With Answer Key Page 12

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